285 citations
- Amherst CollegeUS3 papers
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- Max Planck Institute for the Physics of Complex SystemsDE2 papers
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5 papers · 2 filters
Exact dynamics of a reaction-diffusion model with spatially alternating rates
M. Mobilia, B. Schmittmann, R. K. P. Zia
We present the exact solution for the full dynamics of a nonequilibrium spin chain and its dual reaction-diffusion model, for arbitrary initial conditions. The spin chain is driven…
Voting and Catalytic Processes with Inhomogeneities
Mauro Mobilia, Ivan T. Georgiev
We consider the dynamics of the voter model and of the monomer-monomer catalytic process in the presence of many ``competing'' inhomogeneities and show, through exact calculations…
Self-organized Criticality and Absorbing States: Lessons from the Ising Model
Gunnar Pruessner, Ole Peters
We investigate a suggested path to self-organized criticality. Originally, this path was devised to "generate criticality" in systems displaying an absorbing-state phase transition…
Complete Solution of the Kinetics in a Far-from-equilibrium Ising Chain
M. Mobilia, R. K. P. Zia, B. Schmittmann
The one-dimensional Ising model is easily generalized to a \textit{genuinely nonequilibrium} system by coupling alternating spins to two thermal baths at different temperatures. He…
Bond percolation of polymers
Manoj Gopalakrishnan, Beate Schmittmann, R. K. P. Zia
We study bond percolation of non-interacting Gaussian polymers of segments on a 2D square lattice of size with reflecting boundaries. Through simulations, we find th…